In this work, a geometric framework is developed for the description of motion, time, and internal degrees of freedom within the Hyperspheric Wave Front (HWF) approach, which describes the universe as the surface of a hypersphere embedded in a seven-dimensional complex space C7, whose radius expands at the speed of light. Furthermore, geometric closure conditions in the internal subspace naturally lead to quantization relations and to the emergence of a parameter with dimensions of action, interpretable as a geometric factor associated with a characteristic scale of the front. This parameter is not computed numerically in the present work and is not intended to replace Planck’s constant, but rather to offer a possible geometric reinterpretation of its origin.